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83412042010005 = 35181223826916661
BaseRepresentation
bin10010111101110011100001…
…001000100100110110010101
3101221100010001121212011022110
4102331303201020210312111
541413110330223310010
6453222544010221233
723366215105511352
oct2275634110446625
9357303047764273
1083412042010005
11246399371925a5
129431990124819
13377094ca83657
141685243085629
15999b12d44120
hex4bdce1224d95

83412042010005 has 64 divisors (see below), whose sum is σ = 134822783047680. Its totient is φ = 44034283238400.

The previous prime is 83412042009991. The next prime is 83412042010019. The reversal of 83412042010005 is 50001024021438.

It is an interprime number because it is at equal distance from previous prime (83412042009991) and next prime (83412042010019).

It is not a de Polignac number, because 83412042010005 - 212 = 83412042005909 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5006416375 + ... + 5006433035.

It is an arithmetic number, because the mean of its divisors is an integer number (2106605985120).

Almost surely, 283412042010005 is an apocalyptic number.

It is an amenable number.

83412042010005 is a deficient number, since it is larger than the sum of its proper divisors (51410741037675).

83412042010005 is a wasteful number, since it uses less digits than its factorization.

83412042010005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25342.

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 83412042010005 in words is "eighty-three trillion, four hundred twelve billion, forty-two million, ten thousand, five".

Divisors: 1 3 5 15 181 223 543 669 905 1115 2715 3345 8269 16661 24807 40363 41345 49983 83305 121089 124035 201815 249915 605445 1496689 1843987 3015641 3715403 4490067 5531961 7483445 9046923 9219935 11146209 15078205 18577015 22450335 27659805 45234615 55731045 137769809 333761647 413309427 672487943 688849045 1001284941 1668808235 2017463829 2066547135 3362439715 5006424705 10087319145 24936335429 30722667407 74809006287 92168002221 124681677145 153613337035 374045031435 460840011105 5560802800667 16682408402001 27804014003335 83412042010005